4040000400 has 240 divisors, whose sum is σ = 13993697600. Its totient is φ = 992839680.

The previous prime is 4040000333. The next prime is 4040000401. The reversal of 4040000400 is 40000404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4040000401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841206 + ... + 845994.

Almost surely, 2^4040000400 is an apocalyptic number.

4040000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996848800).

4040000400 is an abundant number, since it is smaller than the sum of its proper divisors (9953697200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040000400 is a wasteful number, since it uses less digits than its factorization.

4040000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4040000400 is about 63560.9974748666. The cubic root of 4040000400 is about 1592.6749009214.

Adding to 4040000400 its reverse (40000404), we get a palindrome (4080000804).

The spelling of 4040000400 in words is "four billion, forty million, four hundred", and thus it is an aban number.